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The following octagon is formed by removing four congruent right triangles from a rectangle. What is the area of each triangle?

2 Answers

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Final answer:

To find the area of each triangle, divide the height of the rectangle by 2 and use the formula Area = (1/4) x base x height.

Step-by-step explanation:

To find the area of each triangle, we need to determine the dimensions of the triangle. Since the octagon is formed by removing four congruent right triangles from a rectangle, we can divide the height of the rectangle by 2 to find the height of each triangle. Let's assume the height of the rectangle is 'h' and the base of the triangle is 'b'. The area of the triangle is given by the formula: Area = (1/2) x base x height. Plugging in the values, we have: Area = (1/2) x b x (h/2). Simplifying further, we get: Area = (1/4) x b x h.

Therefore, the area of each triangle is one-fourth the product of the base and height of the rectangle.

User Nulvinge
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try this formula(n-2)180/n (n is number of sides)

User Pritesh Tupe
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